Skip to content
Snippets Groups Projects
Commit d1b8f499 authored by David Preiss's avatar David Preiss
Browse files

frantic final update

parent aa4d4410
No related branches found
No related tags found
No related merge requests found
# Electromagnetic FEA Simulations
<script type="math/tex; mode=display">\sum_{n=1}^\infty \frac{(ik)^n}{n!} C_n = \log \langle e^{ikx} \rangle</script>
We can create rudimentary 2D and 3D FEA simulations of current carrying wires and permanent magnets in free space using only two equations:
For current carrying wires we use [Biot-Savart](https://en.wikipedia.org/wiki/Biot%E2%80%93Savart_law):
......@@ -18,7 +20,7 @@ The rest is surprisingly simple and can be implemented in about 100 lines of cod
![alt_text](images/diySim1.png "diySim1")
Examining the results above, there are some innacuracies and limitations worth noting for improvement:
Examining the results above, there are some inaccuracies and limitations worth noting for improvement:
1) First let's note that there appears to be divergence on the left and right bounds of the permanent magnet where the field changes direction. I initially assumed that this was incorrect, but it turns out [H fields are indeed divergent](https://en.wikipedia.org/wiki/Magnetic_field#H-field_and_magnetic_materials) at the boundary of a magnet, and [Gauss's law for magnetism](https://en.wikipedia.org/wiki/Gauss%27s_law_for_magnetism) applies to magnetic flux density B, but not field strength H. This should really be apparent from the fact that H = B/u_0 - M, where the magnetization vector M is just a uniform vector field that sources from one side of the magnet and sinks into the other, as shown in the image linked to above.
......
images/Afield.png

3.63 KiB

images/AtoB.png

2.35 KiB

images/BfieldFinal.png

19.2 KiB

images/DIYsim2.png

130 KiB

images/continuousDiscrete.png

332 KiB

images/ferritic.gif

1.25 MiB

images/helmholtz.png

3.19 KiB

images/jBound.png

3.07 KiB

images/longboi.png

59 KiB

images/validation.png

54 KiB

images/validationExperiment.png

925 KiB

0% Loading or .
You are about to add 0 people to the discussion. Proceed with caution.
Please register or to comment